Can Mean-Value theorem applied for the following functions on the indicated closed intervals? If your answer is yes, then find the value(s) of the constant(s) .
[1,-1]

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Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Solve the system of equations. y= 2x y= x^2 - 15

In which form is the following function written? y = - 2(x – 3)(x + 5)